Grains

Grains

Easy

Introduction

There once was a wise servant who saved the life of a prince. The king promised to pay whatever the servant could dream up. Knowing that the king loved chess, the servant told the king he would like to have grains of wheat. One grain on the first square of a chessboard, with the number of grains doubling on each successive square.

Instructions

Calculate the number of grains of wheat on a chessboard.

A chessboard has 64 squares. Square 1 has one grain, square 2 has two grains, square 3 has four grains, and so on, doubling each time.

Write code that calculates:

  • the number of grains on a given square
  • the total number of grains on the chessboard

However, the king ran out of grains to give the servant after day 31 since 1,073,741,824 grains is approximately 54 metric tons. As a 32-bit language, Batch can't represent the number of grains past this point.

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